\begin{tikzpicture}
    \tkzDefPoints{0/0/B, 4/0/C, 1.7/2.5/A}
    \tkzDefPointOnLine[pos=0.4](A,B)  \tkzGetPoint{D}
    \tkzDefPointOnLine[pos=0.4](A,C)  \tkzGetPoint{E}
    \tkzInterLL(B,E)(C,D)  \tkzGetPoint{O}
    \tkzInterLL(A,O)(B,C)  \tkzGetPoint{M}
    \tkzInterLL(A,O)(D,E)  \tkzGetPoint{N}

    \tkzDrawPolygon(A,B,C)
    \tkzDrawSegments(B,E  C,D  D,E  A,M)
    \tkzLabelPoints[above](A)
    \tkzLabelPoints[left](B,D)
    \tkzLabelPoints[right](C,E)
    \tkzLabelPoints[below](M)
    \tkzLabelPoints[above,xshift=.4em](N)
    \tkzLabelPoints[below,xshift=-.4em](O)
\end{tikzpicture}

